Final answer:
The stronger force caused the jar lid to travel faster and reach the end of the metersticks according to Newton's second law, which relates force to acceleration when mass is constant.
Step-by-step explanation:
The force that caused the jar lid to travel faster and reach the end of the metersticks is the stronger force. According to Newton's second law of motion, acceleration is directly proportional to the force applied if the mass remains constant. Therefore, if two jar lids were subject to different forces, the one with the greater force will accelerate more and, consequently, cover the same distance in a shorter time or reach a longer distance in the same time, assuming they started from rest and were acted upon by the forces for the same amount of time.
Box A travels faster at the finishing distance since a greater force with equal mass results in a greater acceleration, and consequently, a greater final speed when covering the same distance. This principle explains why the jar lid moved by the stronger force reached the end of the metersticks faster.